Bunuel wrote:

Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50

B. $5.00

C. $5.50

D. $7.50

E. $15.00

Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1

8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300

8x = 760.

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______________

36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option B is correct answer.

OA plesae...will correct if I missed anything.